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1996 AMC 12 Question 9

AMC12 · 1996 AMC 12

Question 9

Triangle $PAB$ and square $ABCD$ are in perpendicular planes. Given that $PA=3,$ $PB=4,$ and $AB=5,$ what is $PD?$
  1. $5$
  2. $\sqrt{34}$
  3. $\sqrt{41}$
  4. $2\sqrt{13}$
  5. $8$